148102 The internal energy of the air, in a room of volume $V_{t}$ at temperature $T$ and with outside pressure $\mathbf{p}$ increasing linearly with time, varies as

148103 A gas is at constant pressure $4 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. When a heat energy of $2000 \mathrm{~J}$ is supplied to the gas, its volume changes by $3 \times 10^{-3} \mathrm{~m}^{3}$. What is the increase in its internal energy?

148104 An ideal gas in a cylinder is compressed adiabatically to one-third of its original volume. A work of $45 \mathrm{~J}$ is done on the gas by the process. The change in internal energy of the gas and the heat flowed into the gas, respectively are

148105 An ideal gas has molar heat capacity $C_{v}$ at constant volume. The gas undergoes a process where in the temperature changes as $T=T_{0}\left(1+\alpha V^{2}\right)$, where, $T$ and $V$ are temperature and volume respectively, $T_{0}$ and $\alpha$ are positive constants. The molar heat capacity $C$ of the gas is given as $C=C_{v}+R f(V)$, where, $f(V)$ is a function of volume. The expression for $f(V)$ is

148102 The internal energy of the air, in a room of volume $V_{t}$ at temperature $T$ and with outside pressure $\mathbf{p}$ increasing linearly with time, varies as

148103 A gas is at constant pressure $4 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. When a heat energy of $2000 \mathrm{~J}$ is supplied to the gas, its volume changes by $3 \times 10^{-3} \mathrm{~m}^{3}$. What is the increase in its internal energy?

148104 An ideal gas in a cylinder is compressed adiabatically to one-third of its original volume. A work of $45 \mathrm{~J}$ is done on the gas by the process. The change in internal energy of the gas and the heat flowed into the gas, respectively are

148105 An ideal gas has molar heat capacity $C_{v}$ at constant volume. The gas undergoes a process where in the temperature changes as $T=T_{0}\left(1+\alpha V^{2}\right)$, where, $T$ and $V$ are temperature and volume respectively, $T_{0}$ and $\alpha$ are positive constants. The molar heat capacity $C$ of the gas is given as $C=C_{v}+R f(V)$, where, $f(V)$ is a function of volume. The expression for $f(V)$ is

148102 The internal energy of the air, in a room of volume $V_{t}$ at temperature $T$ and with outside pressure $\mathbf{p}$ increasing linearly with time, varies as

148103 A gas is at constant pressure $4 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. When a heat energy of $2000 \mathrm{~J}$ is supplied to the gas, its volume changes by $3 \times 10^{-3} \mathrm{~m}^{3}$. What is the increase in its internal energy?

148104 An ideal gas in a cylinder is compressed adiabatically to one-third of its original volume. A work of $45 \mathrm{~J}$ is done on the gas by the process. The change in internal energy of the gas and the heat flowed into the gas, respectively are

148105 An ideal gas has molar heat capacity $C_{v}$ at constant volume. The gas undergoes a process where in the temperature changes as $T=T_{0}\left(1+\alpha V^{2}\right)$, where, $T$ and $V$ are temperature and volume respectively, $T_{0}$ and $\alpha$ are positive constants. The molar heat capacity $C$ of the gas is given as $C=C_{v}+R f(V)$, where, $f(V)$ is a function of volume. The expression for $f(V)$ is

148102 The internal energy of the air, in a room of volume $V_{t}$ at temperature $T$ and with outside pressure $\mathbf{p}$ increasing linearly with time, varies as

148103 A gas is at constant pressure $4 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$. When a heat energy of $2000 \mathrm{~J}$ is supplied to the gas, its volume changes by $3 \times 10^{-3} \mathrm{~m}^{3}$. What is the increase in its internal energy?

148104 An ideal gas in a cylinder is compressed adiabatically to one-third of its original volume. A work of $45 \mathrm{~J}$ is done on the gas by the process. The change in internal energy of the gas and the heat flowed into the gas, respectively are

148105 An ideal gas has molar heat capacity $C_{v}$ at constant volume. The gas undergoes a process where in the temperature changes as $T=T_{0}\left(1+\alpha V^{2}\right)$, where, $T$ and $V$ are temperature and volume respectively, $T_{0}$ and $\alpha$ are positive constants. The molar heat capacity $C$ of the gas is given as $C=C_{v}+R f(V)$, where, $f(V)$ is a function of volume. The expression for $f(V)$ is